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can option c also be false,here in the question it is  not mentioned that graph has distinct weight so if all have same weight  then there may be chance that option c might be false?plsss clarify?

Let w be the minimum weight among all edge weights in an undirected connected graph. Let e be a specific edge of weight w. Which of the following is FALSE?

  1. There is a minimum spanning tree containing e

  2. If e is not in a minimum spanning tree T, then in the cycle formed by adding e to T, all edges have the same weight.

  3. Every minimum spanning tree has an edge of weight w

  4. e is present in every minimum spanning tree

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